Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.

Answers

Answer 1

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.


Related Questions

A train travels 558 miles in 3 hours. At this rate, how far does the train travel
in 6 hours?
186 miles
O 1,674
0
1,116 miles
O 18 miles

Answers

Answer:

the answer is 1,674

Step-by-step explanation:

because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674

Julie sent 200 emails last month. This month she sent 40% less. How many
emails did she send this month?

Answers

Answer:

She sent 120 emails this month.

Step-by-step explanation:

Multiply 200 by .60 (60 percent) and it will give you 120.

I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.

A number decreased by 22 is 44. Which equation can be used to solve this problem

Answers

Answer:

44+22=x or x-22=44

Step-by-step explanation:

X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.

Hope this helps please mark brainliest :D

help meeeeee plsssss

Answers

Answer: 0.57
It’s out of 100, so it’s 57 hundredths

Please help fast!! Is this a function?

Answers

Answer:

It's not a function..

Step-by-step explanation:

Just take a look at it.

what did u studied about functions before doing this type of problem in math?

Does it look like it? no.

Answer:

That looks very hard .. sorry :(

Step-by-step explanation:

Alonso multiplied the fractions 312and (−414) and got a product of −1218. Describe the mistake that Alonso made. What is the correct product?

CAUTION: I NEED HELP!!!!!!

Answers

Sorry I thought I was gonna understand but I don’t but good luck:) you can do it

How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?

Answers

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

PLZ HELP!!!! WILL MARK BRAINLEST IF CORRECT

Answers

Answer: the answer is 54

Step-by-step explanation: The error in the expression was that it was multiplied by 1 so it can't be one unless it was also 1 and it's not it is 54.

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

y=4x-10

Step-by-step explanation:

which rule best described the following pattern 5,6,15,16,25,26,35​

Answers

The pattern is increasing by 10 then a ding 1 to the next number. Hope this helps! :)

brainliest will be given if correct

Answers

Answer:

10

Step-by-step explanation:

im not sure if its correct but area is the area around the trapezoid and i added them

what is 75 percent of 225? 30 57.25 75 168.75

Answers

Answer:

168.75

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

168.75

Step-by-step explanation:

Multiply 0.75 and 225 together

(0.75 = 75%)

0.75(225) = 168.75

So 168.75 is 75% of 225

Hope this helped :)

Brainliest?

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour

Answers

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

I need help with 10 please!!!!!!!

Answers

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )

1 +1 = ???????????????????????????

Answers

Answer:

IT 2

Step-by-step explanation:

PLEASE HELP ASAP!?!?!?!?!!!?!?!?!?!?!?!

The diameter of a pizza is 13 1/4 inches what is the length in inches of the diameters of 6 pizzas?

Answers

Answer:

79.5

Step-by-step explanation:

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6

Answers

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

m is the slope. b is the y-intercept.

The y-intercept is given here in the coordinate (0,2) It is +2

Slope is rise/run.

Rise: Difference in given y-values is 4-2 = 2.

Run: Difference in x-values is 8-0=8.

So the slope is 2/8 = 1/4

The equation is y = 1/4 x + 2

Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much ribbon did Piper use for each side?

Answers

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]

-6n + 3= 45
how do you solve this

Answers

Answer:

n= -7

Step-by-step explanation:

subtract 3 from both sides,-6n=42,divide both sides by -6

Answer:

[tex]\boxed{n = - 7}[/tex]

Step-by-step explanation:

[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]

i need help with this ^

Answers

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

Rewrite the expression in the form a^n

Answers

Answer:

a7/5

Step-by-step explanation:

I need help with whole thing teacher is putting pressure on me and I have a 10 in her class

Answers

Answer:

So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.

So when it says X -4

                          Y 5

Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)

Step-by-step explanation:

I really hope this helps you its hard to describe over type:(

Good luck:))

e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.

Answers

Answer:

Step-by-step explanation:

Let width of rectangle =X

So length=5x

Given area of rectangle =320inch

Area of rectangle =length ×width

Length×width=320

5X×X=320

5x^2=320

x^2=320/5

x^2=64

So X=√64

Width x= 8inch

Length 5x=5×8

= 40 inch

Perimeter of rectangle =2(length+width)

=2(40+8)

=2(48)

=96inch

Please help with both and leave a small explanation! I wanna double check my answers!

Answers

Answer:

(1)Hoops shadow would be 6 ft (2) model would be 3 cms

Step-by-step explanation:

9 / 3 = 3   3 x 2 = 6 ft

15 / 5 =3    3 x 1 = 3 cm

If you flip 3 coins what is the probability of NOT getting three Heads? P(not getting 3 Heads)​

Answers

Answer:

Yeah im sure you wont get 3 heads for all coins it would usually be like 1 tails, 2 tails or 3 tails :/?

Step-by-step explanation:

24% of 72 is what number? (will mark brainliest for full explanation)

Answers

Answer:

300

Step-by-step explanation:

Answer:

17.28

Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

Answers

Answer:

Its area is 370 square centimeters.

Step-by-step explanation:

A game uses a single 6-sided die.

To play the game, the die is rolled one time, with the following results:

Even number = lose $10
1 or 3 = win $3
5 = win $8

What is the expected value of the game?

Answers

45$ since there are 3 even numbers so 3x10= 30 and 1&3= 6 1 five which is 8. Now we add 30+6+8

Write the next three terms: 7,10,13,16,

Answers

Answer:

7,10,13,16,19,21,24,27

Step-by-step explanation:

Add 3 every time

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Which equation represents the following word problem? Grace is making a cake. The recipe calls for 21/2 cups of flour. If she has already added 3/4 of a cup into the bowl, how much more flour will she need to add? Let x be the number of cups she needs to add.
A) x+3/4 = 22/2
B) x-3/4=27/2
C) 3/4x = 21/2
D) X/13/4)​

Answers

Answer: c

Step-by-step explanation:

3/4x = 21/2

Other Questions
You are in a tug-of-war with some friends. You side is tugging with 521 N to the left. The other side is tugging with 550 N to the right. What is the net force on the rope? (Assume right is positive, left is negative). There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers. The first noble gas with a Lewis Structure with 8 dots isA. ArB. KrC. HeD. ne Willll some one please help meeee I'm running out of time What is the equation of a line that passes through (0, 7) and has a slope of -2? Why would women and children be paid less than other workers?They were valued less than malesThey had fewer skills.They did not organize and ask for more pay.They were working secretly and could be pala less. WILL GIVE BRAINIEST PLUS 20 POINTS IF IT IS GOOD AND DESCRIPTIVE what is a good and descriptive sentence with dispense? JUST ONE SENTENCE BUT HAS TO BE GOOD Which of the following does not show the Commutative Property of Addition or Multiplication? a. xy 9 = xyb. x + y = y + xc. yx = xyd. 3 + y = y + 3 What is the first step an interdisciplinary team should take when establishing a procedure What is mA?Enter your answer in the box. what did most rich southern planters do with their wealth? Help please, question attached Which one is not a significant geographic feature of Asia? The Gobi DesertThe Ganges RiverThe HimalayasThe Atacama Desert Under the provisions of the Investment Advisers Act of 1940, if an adviser takes custody of customer funds or securities, account statements MUST be sent to the customer: what are the natural rights and grievances found in the declaration of independence? I need help solving this Which expression is equivalent to 8a + 20?4(2a + 20)4(2a + 5)4(4a + 16)4(4a + 5) Please help me!!!adapted from Submarinesfrom The Story of Great Inventionsby Elmer Ellsworth Burns Successful navigation beneath the surface of the water, though not carried to the extent imagined by Jules Verne, was a reality at the beginning of the twentieth century. Instead of twenty thousand leagues under the sea, less than a hundred leagues had been accomplished, but no one can foretell what the future may have in store. The submarine is primarily utilized in wars. The weapon used by the submarine is the torpedo. The torpedo is itself a small submarine able to propel itself, and if started in the water toward a certain object, to go under water straight to the mark. It carries a heavy charge, either of guncotton or dynamite, which explodes when the torpedo strikes a solid object, such as a battle-ship. It would be very difficult for one submarine to fight another submarine, for the submarine when completely submerged is blind. It could not see in the water to find its enemy. The torpedo-boat-destroyer is able to destroy a submarine by torpedoes, shells full of high explosives, or quick-firing guns. Advantage must be taken of the moment when the submarine comes to the surface to get a view of her enemy. One of the great enemies of the submarine will probably be the air-ship, for while the submarine when under water cannot be seen from a ship on the surface, it can, under favorable conditions, be seen from a certain height in the air. The rising and sinking of the submarine depend on the principle of Archimedes. The upward push of the water is just equal to the weight of the water displaced. If the water displaced weighs more than the boat, then the upward push of the water is greater than the weight of the boat and the boat rises. However, the boat can be made to dive when its weight is just a little less than the weight of the water displaced. This is done by means of horizontal rudders which may be inclined so as to cause the boat to glide downward as its propeller drives it forward. There is one submarine built for peaceful pursuits. It is the Argonaut, invented by Simon Lake. This remarkable boat crawls along the bottom of the sea, but not at an immense depth. It is equipped with divers' appliances, and is used in saving wreckage. Divers can go out through the bottom of the boat, walk about on the sea bottom, and when through with their work re-enter the boat; all the while boat and men are, perhaps, a hundred feet below the surface. The divers' compartment, from which the divers go out into the water, is separated by an air-tight partition from the rest of the boat. Compressed air is forced into this compartment until the pressure of the air equals the pressure of the water outside. Then the door in the bottom is opened, and the air keeps the water out. The men in their diving-suits can then go out and in as they please. For every boat, there is a depth beyond which it must not go. The penalty for going beyond this depth is a battered vessel, for the pressure increases with the depth. Every time the depth is increased thirty-two feet, the pressure is increased fifteen pounds on every square inch. Beyond a certain depth, the vessel cannot resist the pressure. Submarines have been made strong enough to withstand the pressure at a depth of five thousand feet, or nearly a mile. Most submarines, however, cannot go deeper than a hundred and fifty feet. Air is supplied to the occupants of the boat either from reservoirs containing compressed air or oxygen, or by means of chemicals which absorb the carbon dioxide produced in breathing and restore the needed quantity of oxygen to the air.Select all the correct answers.Read the sentence from the passage.The submarine is primarily utilized in wars.Which two words have a similar denotation to the word utilized as it is used in the passage?A tiltedB. AdvertisedC. AuthorizedD. UsedE. Employed Dead ocean animals fall to the bottom of the ocean. A scientist notices rock layers that have formed on the ocean bottom with fossils of some of these animals. What type of rock is this?PLS HELP How much eat is absorbed when 50.0g of water changes from 25.0 Celsius to 37.0 Celsius?